DocumentCode
1369004
Title
A proof of Nielsen´s conjecture on the GPS dilution of precision
Author
Teunissen, P.J.G.
Author_Institution
Fac. of Geodesy, Delft Univ. of Technol., Netherlands
Volume
34
Issue
2
fYear
1998
fDate
4/1/1998 12:00:00 AM
Firstpage
693
Lastpage
695
Abstract
The dilution of precision terms for relative positioning are bounded from above by the corresponding dilution of precision terms for point positioning. This result is proven for the case of four satellites and conjectured to be valid for the case of more than four satellites. A proof of this conjecture is given. We also extend the result by giving two different lower bounds for the dilution of precision terms. The first lower bound depends on the receiver-satellite geometry, whereas the second does not. The proof of the bounds is based on the solution of a generalized eigenvalue problem
Keywords
Global Positioning System; eigenvalues and eigenfunctions; GPS; Nielsen´s conjecture; generalized eigenvalue problem; lower bounds; precision term dilution; receiver-satellite geometry; relative positioning; Eigenvalues and eigenfunctions; Geometry; Global Positioning System; Linear matrix inequalities; Matrices; Position measurement; Satellites; Signal processing;
fLanguage
English
Journal_Title
Aerospace and Electronic Systems, IEEE Transactions on
Publisher
ieee
ISSN
0018-9251
Type
jour
DOI
10.1109/7.670364
Filename
670364
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